Least Common Multiple of 6523 and 6529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6523 and 6529 the smallest integer that is 42588667 that is divisible by both numbers.

Least Common Multiple (LCM) of 6523 and 6529 is 42588667.

LCM(6523,6529) = 42588667

LCM of 6523 and 6529

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6523 and 6529

LCM of 6523 and 6529 is 42588667

Least common multiple can be found by multiplying the highest exponent prime factors of 6523 and 6529. First we will calculate the prime factors of 6523 and 6529.

Prime Factorization of 6523


11 6523
593 593
1

Prime factors of 6523 are 11,593. Prime factorization of 6523 in exponential form is:

6523 = 111×5931

Prime Factorization of 6529


6529 6529
1

Prime factors of 6529 are 6529. Prime factorization of 6529 in exponential form is:

6529 = 65291

Now multiplying the highest exponent prime factors to calculate the LCM of 6523 and 6529.

LCM(6523,6529) = 111×5931×65291
LCM(6523,6529) = 42588667

Factors of 6523

List of positive integer factors of 6523 that divides 6523 without a remainder.

1, 11, 593, 6523

Factors of 6529

List of positive integer factors of 6529 that divides 6529 without a remainder.

1, 6529

Least Common Multiple of 6523 and 6529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6523 and 6529, than apply into the LCM equation.

GCF(6523,6529) = 1
LCM(6523,6529) = ( 6523 × 6529) / 1
LCM(6523,6529) = 42588667 / 1
LCM(6523,6529) = 42588667

Properties of LCM 6523 and 6529

(i) The LCM of 6529 and 6523 is associative

LCM of 6523 and 6529 = LCM of 6529 and 6523

Related Least Common Multiples of 6523

Related Least Common Multiples of 6529

Frequently Asked Questions on LCM of 6523 and 6529

1. What is the LCM of 6523 and 6529?

Answer: LCM of 6523 and 6529 is 42588667.

2. What are the Factors of 6523?

Answer: Factors of 6523 are 1, 11, 593, 6523. There are 4 integers that are factors of 6523. The greatest factor of 6523 is 6523.

3. What are the Factors of 6529?

Answer: Factors of 6529 are 1, 6529. There are 2 integers that are factors of 6529. The greatest factor of 6529 is 6529.

4. How to Find the LCM of 6523 and 6529?

Answer:

Least Common Multiple of 6523 and 6529 = 42588667

Step 1: Find the prime factorization of 6523

6523 = 11 x 593

Step 2: Find the prime factorization of 6529

6529 = 6529

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 42588667 = 11 x 593 x 6529

Step 4: Therefore, the least common multiple of 6523 and 6529 is 42588667.